非弹性光谱学中的精度和信息极限
Precision and informational limits in inelastic optical spectroscopy
摘要：
利用Fisher信息和Cramér-Rao下限，分析了非弹性光散射光谱参数测定的基本精度极限。本文导出了拉曼和布里渊光谱仪色散元件和中继光学元件的仪器响应函数的一般解析公式。色散和衍射限制的光谱仪，分别对应于测量的洛伦兹和Voigt线型的极限情况下，进行了详细讨论，允许最佳配置被确定。散焦，球面像差，检测器像素化和有限的检测器尺寸的影响也被认为是。
英文摘要：
Using Fisher information and the Cramér-Rao lower bound, we analyse fundamental precision limits in the determination of spectral parameters in inelastic optical scattering. General analytic formulae are derived which account for the instrument response functions of the dispersive element and relay optics found in practical Raman and Brillouin spectrometers. Limiting cases of dispersion and diffraction limited spectrometers, corresponding to measurement of Lorentzian and Voigt lineshapes respectively, are discussed in detail allowing optimal configurations to be identified. Effects of defocus, spherical aberration, detector pixellation and a finite detector size are also considered.
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